{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "import collections\n",
    "import glob\n",
    "import json\n",
    "import os\n",
    "from pprint import pprint\n",
    "from sys_config import EXP_DIR\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import cm\n",
    "from matplotlib import colors\n",
    "from matplotlib import rc\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import numpy as np\n",
    "import json\n",
    "\n",
    "sns.set_style(\"white\")\n",
    "sns.set_context(\"notebook\")\n",
    "plt.rcParams['font.family'] = \"serif\"\n",
    "\n",
    "from IPython.core.display import display, HTML\n",
    "\n",
    "\n",
    "%matplotlib inline\n",
    "# %matplotlib notebook\n",
    "# %matplotlib widget\n",
    "# %matplotlib ipympl\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "base = json.load(open(\"entropies_test_deen_base.json\"))\n",
    "base_ls = json.load(open(\"entropies_test_deen_base_ls.json\"))\n",
    "postnorm = json.load(open(\"entropies_test_deen_postnorm.json\"))\n",
    "prior_3M = json.load(open(\"entropies_test_deen_prior_3M_kl.json\"))\n",
    "prior_30M = json.load(open(\"entropies_test_deen_prior_30M_kl.json\"))\n",
    "rprior_30M = json.load(open(\"entropies_test_deen_prior_30M_rkl.json\"))\n",
    "prior_3M_ls = json.load(open(\"entropies_test_deen_prior_3M_kl_ls.json\"))\n",
    "# prior_30M_ls = json.load(open(\"entropies_test_deen_prior_30M_kl_ls.json\"))\n",
    "\n",
    "# prior_30M_ls: lm, tm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "def set_size(width, fraction=1):\n",
    "    \"\"\" Set aesthetic figure dimensions to avoid scaling in latex.\n",
    "\n",
    "    Parameters\n",
    "    ----------\n",
    "    width: float\n",
    "            Width in pts\n",
    "    fraction: float\n",
    "            Fraction of the width which you wish the figure to occupy\n",
    "\n",
    "    Returns\n",
    "    -------\n",
    "    fig_dim: tuple\n",
    "            Dimensions of figure in inches\n",
    "    \"\"\"\n",
    "    # Width of figure\n",
    "    fig_width_pt = width * fraction\n",
    "\n",
    "    # Convert from pt to inches\n",
    "    inches_per_pt = 1 / 72.27\n",
    "\n",
    "    # Golden ratio to set aesthetic figure height\n",
    "    golden_ratio = (5**.5 - 1) / 2\n",
    "\n",
    "    # Figure width in inches\n",
    "    fig_width_in = fig_width_pt * inches_per_pt\n",
    "    # Figure height in inches\n",
    "    fig_height_in = fig_width_in * golden_ratio\n",
    "\n",
    "    fig_dim = (fig_width_in, fig_height_in)\n",
    "\n",
    "    return fig_dim"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.style.use('classic')\n",
    "\n",
    "nice_fonts = {\n",
    "        # Use LaTeX to write all text\n",
    "        \"text.usetex\": True,\n",
    "        \"font.family\": \"serif\",\n",
    "        # Use 10pt font in plots, to match 10pt font in document\n",
    "        \"axes.labelsize\": 8,\n",
    "        \"font.weight\": \"bold\",\n",
    "        \"axes.labelweight\": \"bold\",\n",
    "        \"font.size\": 8,\n",
    "        # Make the legend/label fonts a little smaller\n",
    "        \"legend.fontsize\": 8,\n",
    "        \"xtick.labelsize\": 8,\n",
    "        \"ytick.labelsize\": 8,\n",
    "}\n",
    "rc('text', usetex=True)\n",
    "sns.set_style(\"white\", {\n",
    "    \"font.family\": \"serif\",\n",
    "    \"font.serif\": [\"CMU Serif\", \"Times\", \"serif\"],\n",
    "})\n",
    "plt.rcParams.update(nice_fonts)\n",
    "\n",
    "# sns.set_palette(\"deep\")\n",
    "# sns.set_palette(\"muted\")\n",
    "# sns.set_palette(\"bright\")\n",
    "# Set the font to be serif, rather than sans\n",
    "# sns.set(font='serif')\n",
    "fig_width_pt = 219.08612\n",
    "figsize = set_size(fig_width_pt)\n",
    "# plt.rcParams[\"figure.figsize\"] = (figsize[0]*1.15, figsize[1]*1.2)\n",
    "plt.rcParams[\"figure.figsize\"] = (figsize[0]*1.2, figsize[1]*1.45)\n",
    "plt.rcParams[\"legend.numpoints\"] = 2.\n",
    "# plt.rcParams[\"font.weight\"] = \"bold\"\n",
    "# plt.rcParams[\"axes.labelweight\"] = \"bold\"\n",
    "plt.rcParams[\"legend.labelspacing\"] = 0.2\n",
    "plt.rcParams[\"legend.handlelength\"] = 2.8\n",
    "# sns.set(font_scale=1.2)  # crazy big\n",
    "plt.rcParams['axes.formatter.useoffset'] = False\n",
    "plt.rcParams['xtick.major.pad']='0'\n",
    "plt.rcParams['ytick.major.pad']='0'\n",
    "\n",
    "bins = 100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 291.023x217.334 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 291.023x217.334 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 291.023x217.334 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 291.023x217.334 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 291.023x217.334 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 291.023x217.334 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "learnui = [\"#003f5c\", \"#58508d\", \"#bc5090\", \"#ff6361\", \"#ffa600\"]\n",
    "bw = 0.22\n",
    "for p in [\"tab10\", \"deep\", \"muted\", \"bright\", \"colorblind\"]:\n",
    "    sns.set_palette(p)\n",
    "    sns.distplot(base[\"tm\"],  label=\"Base\",                 bins=bins, hist=False, kde_kws={\"shade\": False, \"lw\": 1.6, \"bw\":bw, 'linestyle':':', 'dash_capstyle':'round', } )\n",
    "    sns.distplot(base_ls[\"tm\"],    label=r\"Base+\\textsc{ls}\",    bins=bins, hist=False, kde_kws={\"shade\": False, \"lw\": 1.6, \"bw\":bw, 'linestyle':':', 'dash_capstyle':'round', }  )\n",
    "    sns.distplot(prior_30M[\"lm\"],     label=\"LM\",                   bins=bins, hist=False, kde_kws={\"shade\": False, \"lw\": 1.3, \"bw\":bw, 'linestyle':'--', })\n",
    "#     sns.distplot(prior_30M[\"tm\"],     label=\"Base+Prior\",           bins=bins, hist=False, kde_kws={\"shade\": False, \"lw\": 1.3, \"bw\":bw, 'linestyle':'-', 'dash_capstyle':'round', } )\n",
    "#     sns.distplot(rprior_30M[\"tm\"],     label=\"Base+RPrior\",           bins=bins, hist=False, kde_kws={\"shade\": False, \"lw\": 1.3, \"bw\":bw, 'linestyle':'-', 'dash_capstyle':'round', } )\n",
    "#     sns.distplot(postnorm[\"tm\"],  label=r\"\\textsc{postnorm}\",   bins=bins, hist=False, kde_kws={\"shade\": False, \"lw\": 1.3, \"bw\":bw, 'linestyle':'-', 'dash_capstyle':'round', } )\n",
    "    plt.ylabel(\"density\",labelpad=2)\n",
    "    plt.xlabel(\"entropy per token\",labelpad=2)\n",
    "    plt.xlim(-0.2, 7)\n",
    "    plt.ylim(0,1)\n",
    "    \n",
    "    ax = plt.gca()\n",
    "    ax.set_xticks([0, 1, 3, 5 ,7])\n",
    "    ax.ticklabel_format(useOffset=False)\n",
    "    plt.legend(ncol=1, prop={'weight':'bold'})\n",
    "    plt.tight_layout()\n",
    "\n",
    "    plt.savefig(f'entropy_{p}.pdf', bbox_inches='tight', format=\"pdf\",pad_inches = 0)\n",
    "\n",
    "    sns.distplot(prior_30M[\"tm\"],     label=r\"Base+Prior\",bins=bins, hist=False, kde_kws={\"shade\": False, \"lw\": 1.3, \"bw\":bw, 'linestyle':'-', 'dash_capstyle':'round', } )\n",
    "    plt.savefig(f'entropy_{p}_prior.pdf', bbox_inches='tight', format=\"pdf\",pad_inches = 0)\n",
    "\n",
    "    sns.distplot(postnorm[\"tm\"],  label=r\"\\textsc{postnorm}\",bins=bins, hist=False, kde_kws={\"shade\": False, \"lw\": 1.3, \"bw\":bw, 'linestyle':'-', 'dash_capstyle':'round', } )\n",
    "    plt.savefig(f'entropy_{p}_postnorm.pdf', bbox_inches='tight', format=\"pdf\",pad_inches = 0)\n",
    "#     plt.savefig(f'entropy_{p}.svg', bbox_inches='tight', format=\"svg\",pad_inches = 0)\n",
    "    \n",
    "    plt.show()\n",
    "    plt.clf()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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4LV1HcE46ik8U2LHX+J0fXCAQ0IUEJ35gnZgqkeNYIPBLuozghMWqCIsXI1UCgT/TZQQHECNVAoGf07UEZ4AQHIHAn+laguMeqeqcMVUCQVenSwmOK6ShvNDeZdepEgg6M11KcFxBnEhivXGBwB/pUoITHKkksocKEH4cgcAf6VKCAxAvZhwLBH6LT5OoZ2RkMHv2bLRabbtd0zVSVbJbCI5A4G94LQFX3STqWVlZmEymeutHAzz55JOnlXirMXoky4JTlFeDJEkoFJ0vGZdA0FXxWgtHr9e7Fy9zJVE/lby8PM+XiZEkMBrq7zv6Ozgd9Xb1TJGz5lUbnZQbhONYIPAnfOrDyczMJC0tjdzc3AbLyDTA8BMsGQ5/fFy7b+UN8E39he6j1SpCY+XbOrqjpr1NFggEp4HXBMeVRB0aXxfatVIDgNlsbvmESRdBpgaO/iZvH98NPVJh3GP1iikUChJTggAoyhWCIxD4E14TnMzMTPR6PTqdrl4S9QULFgCQlpaGwWBAq9WSnp7ewL/TKIMnQ/pi+f/4QTB9JYTFNyjWM1UWnKNCcAQCv8Kr61KdurhdVFQUixYtcv9/6tIxjZLzIgzPgNh+9ffXdQZLEhz6AfpeDAoFPc+WBad4Zw32GomAIOE4Fgj8Af+ehyNJsH8TvDkKSnY1XsZuhRXXw4q/gvkoAIknWzgOG5T8KVo5AoG/4N+Co1DA/30N9+khuomF81RB0PcvcpmoXgCERquISZIbb6JbJRD4D/4tOC4iekBQWOPHFApImwPh3evtdvlxisRIlUDgN3gsOOvXr/emHY1jKWldeUmCAh04nW4/ztE8ITgCgb/gseB8/fXXvPPOO2zZssWb9tRnyRB4Px2cHqSasNfAO2PhwyuhdLe7hXPioJ1qo0hVIRD4Ax4LztNPP820adPIzs5m4sSJHdPiuTcPRv8dlB6YGRAEaf+ABw9B96F0HxqE6mS2iqN5Vu/aKRAIPMJjwZkyZQpTp05lzJgxfPbZZ0ycOJFVq1Z50zbZCTz8Os/LD58CIfJ8noAgBd2HigmAAoE/4bHgZGZmsn79eiZOnIhCocBsNrN8+XJv2tZ2JAkKf3F3q478IQRHIPAHPBacpCR5WDo2NpalS5cSGRnJ6tWrvWYYAHs3tL5O1Ql4/Tz4cDK9h1UBUPirVSyOJxD4AS3ONM7Pz2fp0qXs3LkTjUaDJEkYjUYefPBB71vnaEPLJCQGxv4ThlxNv6oQFAsPY6uSKNxqpd+YkPa3USAQeEyLgjN8+HAeeugh8vPzSUtLAyAyMtLrhgEw5MrW11EoIDUTgJAg6D0imMJfrezbXCUERyDwMR51qdRqNVdccQWRkZFERkZSWFjobbvaB6eTASONAOz/vgpJEt0qgcCXtCg4c+bMAeDyyy9n4sSJXH755UydOtXrhp02JbvgtVTOKrkDAGOhgzKxkoNA4FNaFJyXX34ZkCO/169fz4YNG9z7/JroJPjLQ8TNX0d0H3klh32bqzyuvrfqYL0W0YYTP3Ln3seocla3u6kCwZmCx6NUZrOZnTt38sILL3h88paSqIOcnKu5420mKAzOm4kiMIQB40IB2P+9Z2Jhc9q5fte9bCzPce8rtZ/AbK8gVCn8QAJBW/FYcCRJwmAwEB0d7VGGvrpJ1AsKCppMIarValtOL3qanPUXeT7O4d+sHoU5BCoDuKvnTXxVtsm9LyVsMI+q73ZvW501/K+8A8M8BIIugMeCo1ar0Wg0pKenYzQaWyzvSRJ1nU7nHvnyGkd/p88v5xMYWIXkgIM5jbdy1pV9x28WvXt7ZsL1vHzWfPd2SvgQUsIHA2CX7Ny77wlePPw2dkn4hQQCT2mV4EybNg2DwcCePXtO+8KuPMcepRY9HWL6EnDJg/S7OAZo2o9zpKaYm/58gPzKvYDcylEqGn97bJKdxKDufDD4RQIUXk2aKBB0KTx+WhQKBXl5eUiSxL59+1os70qirlarMRgMDdKJ6vV6oqKiMBgM7lUbvCE+UkgMkvoq+vYtZg/R7NtkwWqMJDg6qF65vyVOIyYgit5BPVo8Z6gyhCf7/qPevqKaEhKDujdRQyAQQCtaOFlZWaSkpDBmzBiGDRvWYvmWkqinp6eTlpbmNf+NVFGB5clnKenWl5IeZxH/8HgCHBXUVCv5ZdgDnJicwYl3l2G11XaxpnZLJzqgdZMaJUnitSMfcFnuTZywt9zVFAjOaCQPefvtt93/GwwGT6u1CbPZLA0ePFgym82truu026WKpe9IxYlnSUWE13t9oX5eykoukLIHbJCOnty3dVAv6eBXy9tsa5WjWvrb7nnSDsuuNp9DIOjMtOZ59biFs2LFCiZOnEhGRga33XabNzWwzUh2O6ZbZmG+czbOomMowsMJf+IR4nduI6FsPxe9Ijuxy0OGYJzyMCiVqPcYCbn6dsqvzcR54kSrrxmiDObtQc+SGj6kvW9HIOhyeCw4rol/q1ev7pjAzVYi2e0Y/+92qj9ZCUDo7TOI37uDiIWPETB0CIrYBLpPmU7v82TfzZ6B9xD3u46g9MsBsH75NWWjxmLb0XA0rTXkVfzJh8Wfn97NCARdFI8Fp6CggDlz5lBYWIhC4V/rPLnExrriUwDCn5xPVPZrqBIbOoDPyYwAYPc3Zmq6n0Xsus+J1ryPIjwcx/4DlF14KdUr2pZYbItpO9fuvJNSW3nbb0Yg6MK0Kh/O5MmT6dOnj3sJX3/BMvexWrF5agERj89rsmzcxWaqI8txOlRsX1kEQMi0qcT9/C2qQQOhqgrjDTOpfO3NVtsxMiKVr4a/zZzeM9t2IwJBF6dVLZzc3FxWrVpFTk5OyxU6COumb6l8+T8AhM+fR8RjDzdbPjEqkTFXyrFV+i9CsFvleKmA5OHEbd1M0MTxAJjve4iK515slS1BykCGhw10b0siOl0gqIfHgnPnnXdiNBrJy8tzL9fra5zl5Zhm/B2AwLFjCH/iUY/qjZo1GFUQWI45+H2FBRzybGFldDQxX64k+NqrALD8cwGWJ55qk235lXuZpJ/J9jqzlwWCM50WBaewsJDCwkKMRiN33HEHt99+u3eCLduAefZcnIWHUUREEP3eUhQqVZNlD1QbWFa0CrtkJ7JHACNulOfb/PSfo1iX/91dThEcTPSqDwme/lcAKhY9S8W/F7fatkUFS7gs5qJ6LR6B4EynxZnGs2fPRq1Ws3PnTtRqNSdOnMBisfh8pKr68y+p/lBO4h75yvOo+vdrtvxxWxnLjq1ii3k72YP+zQWzIsldWU51ZSi/HH6ci+uUVQQGEv3RO5gCAqj+aAWWRxeiiIok7J47Pbbv4yEvoVI0LYACwRlJSxN19Hq9JEmSlJ2d7d5X939v0NJEIqfVKpX0T5aKCJfKrr5ecjqdHp23xmGTDlYVurd/essoZSUXSC+NNEjmYnvD69hs0onrMt0TByvf/7hN92Nz2qTimtI21RUI/J12nfg3fPhwALfDeNWqVY1GfnckVW8tw3HgIAQGErUky+Nh+kBlAH1Deru3z7s5gvDuSuzVElveMELuSjiw2X1cERBA9Ir3CZpwKQCm2+7C+tXaVtmaX7mXq/S3s6hgSavqCQRdEY+dxk899RSHDh3i0KFDPu1OOS0WKp58DoDQu25H1a9vs+W3mnewrGgVVmfDFSACQ5Wk3R0NwI5PLRx7NwtslfXKKIKDiVmzgsCLLgCHg/Jpt1Cj+8ljeysdVVwWcxFZ/R/xuI5A0FXxOFo8MjKShx56yJu2eETlS6/hLC5BERFBxGNzWyzvkBx8VLKG7RV5vDbgXw2Op04J5w+NheJdNjYcXMGNA85qoMKK8HBivlpJ2cUTcez8k/Krrifux/UEDG85iHVUZCqjIlM9vT2BoEvjcQvHH3CWlFCZ9QoAYQ/ehzIhocU6F0aNYEPKByxMur/R48oABZc/EQsKKNodJA+TAxTtAENtS0YZH0/sN1+g7N0L6cQJTlxxHQ5D61avsEt2Pj/+jZifIzhj8argtJTTWKvVotPp3CkrWqLiuZeQzGYU3eIJe3C2x3aoFCq6BcY1ebxnajAjbpBDHn5cYsScvxveuxwO/VD/POo+xH6zBkVMDM7Cw5xIvw5nWZlHNlQ5qrlaP4uXj7xLqb31QaICQVfAa4LTUk5jvV6P0WgkLS3NIye0s7ycqqXLAAh/dC7KFhbjyzFt462i5VQ5PEuc/pfZ0UQkqKipkPjfayFw8Tz4S8MuW0DycGL+uwpCQnDk76L8mkykyspGzlifUFUI9/a6hW9S3m9W/ASCrozXBKelnMbJyclMmjSJrKwsj3xDVdnvIVksKGJiCJ01o8XyAQoVa0o3MPfgvz2yNzhCyWWPyGlI93yvYJexdjIgVeWwZQmc7AoFjbmIaM37oFRiy9lC+fQZSPaWcxtfGXcpIcpgj+wRCLoiPvXhREVFMXfuXBYvXtxs5j/JZqNyyRsAhN55G8qIiBbPfUHkuXw9/B2e6duyY9nFoAmhDJ4oLymz8akTWIod4LDBir/C3vUg1a74EHLNlUQulYe6a75ai+n2e5CcLa8IAbIvZ8mR99CUfO2xbQJBV8BrguPKaQy1CdPrkpWVhV4vxxm1FIFevepznIWHISCAsHs9n+2rUCiICmhZnOqWnzA/lrB4JdUmJ988USY3agZcDtOWg7L+zOGw22cQ8fQTso3vf4zlH//0yCH82pEP+fT4OoaE9vfYNoGgK+A1wWkpp/H06dMxGo1otVrUajXJycmNnkeSJCpfkFsSIdP/iqpP70bLufjF/AevHnkfs6OiTXaHxaq44l+yj+XAD9Xs+NwKY+dBcKTLIPj6fij8RS7/yENuB3blK69T8eSzLV7j9sRpfJPyPudGDG+TjQJBp8Xb057bQt2p0tZvN7tDC2q2/95i3V/NudK1+jukmX8+fFo2rHu8VMpKLpBeHmWQSg/U1B746TVJeq6XJJmOunc5nU6p/G93u+20vLCkVdcqEWEPgk6MV3Ia+4rKl+RcN4GXjiVwxDktlh8ZkcKa4UtZMsCzofamuHReDFG9VdiqJP47txR7zcmu0tBr4eb/QmSiu6zCVkXU0iUE//U6ACwPPkLlq2+0eA1JkniraDkX78jkuM2z4XWBoDPj14LjKDyM9b/rAAibc0+r6kaowk/r2sERSq7OikcZAMU7bXz/wsm0odF9oNeI2oK/fwTvXopCqST642UEX3MlIKfOqHwju9lr2CQ7v5j/4KMhL4mhcsEZgV8LTtWHn4DTibJPb4InX9Fs2X1VBbx4+B3KbO23NlTPs4P5y2w51mr7xxb2/u+UVTttVbD+Ybj0CVAoUAQFEb3yA4JO2mq++4FmRSdIGcjbg55lZERKu9ksEPgzfi041e/L+W5Cb78VRUDzYV81Ug0/m3/npj/ntKsNo2dE0m9MCADax8soL6wz3yYwFO7NhcGT3bsUh3XEvPMsQVdMAGTRqXjBs0jx/Mq9fFC8uv2MFwj8DL8WHOfRo6BUEvq3W1ssOyxsIJqhr7JiaPumgVAoFUx6Jo7w7vJQ+ZdzjmOrqjPfJiy+9v/yAliegeJEPjFrVhB0tSxElocexfKvZ5odMt9myeOa/FmY7W0bXRMIOgN+LTgAQVemtzgUXpfWLtXrCeHxKq55sZvsz9llY/3CE42Lh/kIjL4Thl2LIiSEmM8+Jvj6KQBULHwGywPzmpwceHbYUD4Y/AL39Pq/drdfIPAX/F5wwu5sfpVPo93M84VLKfHyKE/vEcGMfzQWgJ1fV7LtA0vDQuoLYWLtPBxFVQnR5/9IyE0ZgDxPx3jDDKTqhvFdgcoA0qLOc29bHBUcqzneznchEPgWvxYcZZ/e7pUxm8LoMJNbsZv0vFuxSy3HM50O50yL4Oy/yqNfm18oZ/8PVc1X2PQ4ir5jiPrwfcL+KScts65cLUeZlze9WN5haxHX5f+dt4qWt5vtAoE/4NeCE3LLjc2uxACQFNyLD4e8wIaUjwhQeJxPrM1c9mgsvc4JQnLCVw+Wcmxnw0yCbq5YDFcuQaFQEPnvfxH5/OOgANvmHym78FLse/Y2Wq2wpohzI4bxiPouL92FQOAb/Fpwwmd7/sDFBUZ70ZJaAoIUXPdqN2LUAThArpwAAB+fSURBVNgqJVbfXYLpaBMtq7A4+eXa7LOV6AcvhNBQHH/uoeyCS7Fu/LZBtQsiz2Vx/0fdAipJUqMpUgWCzoZfC44iNLTJY07JyZIj73GkprgDLZIJi1Mx9c1uhMYoqShx8tldJVQbW4gUdzqh5whCnviEuB/WuzMHlqdfR+Ur/2lyBMshOXj44LM8WfCqF+5EIOhY/FpwmsPoMLOjYhdjd2RSauv4DHqxfQO57tVuqIKgdK+dz+4qoaaiGdFRKuGSxyEigcCRI4jb+j0BA6LA4cA8Zx7GG2bgtDR0ROeYtqEzbefeXrd48W4Ego6h0wpObEA0bw96lpyzVxEfGOsTG3qPCObqF7qhUMHRHTWsvueUOTrNoIoJJu7+XoTcOg0Aq+YzykaOwZ5bP1HZ2Ojz2ZjyIYlB3d37bE7vOscFAm/RaQXHRY+gbj69/sBLQ7ny2XgUSij81cqa2cexWz1Ikh4ai+LerUS/t4yod16XU5bu3kfp6L9Q+dayel2sUFWI+//Vx78h88/7RCJ2QafEZ0nUTSYTWq0WrVZLVlZWq877UfEaCqxH2svM02bopDCuWCQ7hw9tsbL6nhJqKj1o6ZxcwC/0tluI++/bqOIVYLVjvnM2xr/ehLOkvn+qzFbO/EMvMKfXTI8X/xMI/AmfJVFft24darWa9PR08vPzm834VxeH5GCLaTvjdkxnR8Uub5jeJlKuC3cvN1Pwk5VP7yih2uRZ9wogcPx1xO3aTciMmwGwrv6S0sFDsL4x310mLjCGH85exdjo89372jNYVSDwNj5Lop6ZmenO8mc0GhukIG0KlULFfwYu4oezNaSEDW5fo0+Tc66PYPIzcShUcOT3GlbeVkxFqcPj+spuPYl+902il7+LIjIcZ7mN8rtfwnTHvTjNZqD+8P/eqkNcvGMauyr3tfu9CATewOc+HI1G06YVPfsE90Sp8Ln5DRh+dTjXvBCPKlCOu/rkpmOU7re16hwh068nPncrQeMuAOQVK0qTR2Ode7E7tSlAdtEKpne/iqFhA9r1HgQCb+G1qbmuJOpqtRqDwUB6enqDMjqdjpSUFHe+46ioqGbPubbsOwaH9mdgaPPrifuaQRPCyHhdyRdzjmMsdLD85mKufSUe9eiQliufRNU3iZhvN1L11jIsDz6K01BI+eJCgg+9QuSrL6Lq0YNn+j2ERK3z2GA9isF6tF5Mlj9RbYXf9kBxOZSZwFQB5RaoqIa0FLju4sbrLfkUDhVBVDhEhkF0BHSPgYQYuLDxVNgCP8VrgpOZmUl2tpx8qm4S9cWLF7No0SL3ipsuQdq4cWOL5/zJ/Bv37nuC1wb8i8lxl3jL9Hah70Uh3PBBAqvvPo75mINVs0qYuDCOlOs8z0SoUCgIu/NvBE+aiGnWXdSs/w7rqi+o2bCZiKfmE5qkRzFuHkT1xi7ZuXffEwwLG+gTwamshr2HYbcBLh0B8Y1M/C4uh780kbixekrTgvPZd/BjbsP9sZFw/L+N1zl4FA4WwbC+kBDr9s8LfIxC8sPxVYvFwsiRI9m2bRsRp6xBddh6jOiAiNNOIdpRmI/Z+fye4xTvkrtVI26M4JK5MagCW/cESJKEVfMp5vsfxllcAkBAbxWRy78i6OKxlNnKWWR4lX/3neseRpckyWujWb/vgY83gP4A7DwEBcdqj61bDBNHN6xTZYWIiRAXBfFREBMht1oiQmHShTDr6savtXAZ5B0Ac6X8KrdASbncwtF/2HidF1bAwyfTSsdGQkp/SB0AKWfB1LHQLeb07l9QS3PP66l4P9qxnekd3MPXJrSKyB4BTP8ggXWPlbFnQxW/fWKhZLeNqxfHE96t+cDUuigUCkKmX09Q+uVYHl9E1RtvYz/s4MTYyYTclEn000/wcnkfSJL9Wk7Jyc1//oO7et7ExdGNPP0eUFkNYU30AvcdgRcbWTI+LkoWhcYIDQbrJmgheWMDFjaRoaS5dQfLTKBSgcMBJ8zwww75BXILTAiOb+gULZwfTb8SHxDDsLCBvjatzUiSxM/ZZn581QgShHdXcuVz8SSd77lfpy627b9jvucf2H466UQODiR8bCBhK/Qo47qzvORLlhx5n40pHxKuCmvxfE4n5B+ELXr4OR+27oSdBVC0RhaRU9lbCHNeheR+MKwfDE2CQX0a70r5ihqb3M3LPwh5+yF3P+w7DNvfkSNNTmVLHsx9HS4YLvuG0lKgd/eG5QT1aU0Lx+/XpZIkSXqpcJl01i9jpXeLPvWxZafPvu8rpVfTCqWs5AJpcWqBpHuzXHLYnW06l9PplCo/1kjFfQa718QqTugnVbz2plRRcULac2Szu6zdaZfeObpSqnRUNTjPG2skKWaSJCnHNnxpf27zrXY6sj5peP/9rpekGxZKkv6Ar63zX1qzLlWnaOEAFNeUApAQFN9c1U6B6aid/z5UypE/5JQT6vODmfxMHJGJbevhSpWVVLywhMrnX0Y6GQCq6hNP+DiJkHf3oQgMZNnRz3i7eDmbUj8iVFm/VfXZZph2chkvdcLJX/jhMHoYjBwid4XOBLb9CV/lwE/5civPVCe9dP6HMCTJd7b5M61p4XQawelqOGwSP7xi5Nf35Al9IVFKJv4rlsGXt9z9aQpncTGWp56n6s13wCY7qct7Deajcx9l6Xk2lt3dn6t6XgjIAaAHrYUMCu1HmQk2/ip3IfoknP69dQUcDtkZnpMnO8hf/0fjI11bd8LCd+Gy82D8SDh7QOPdta5MlxGct757n6jISEZEdN3JFgdyqtA+VkbFcdkDmnxtGJfOiyUkqm3f2pxc+OTtA5y7+hmuLNSgQj7v8cjuRE09iz7Z36AICOCdopVojv+Xb5LfF3FZp8G/P4TH367d7h4jC8+kC+GaMfIoXFenNYLj11q8q2ov1++6l1eOvOdrU7xG/zGh3Lo6kQGXyt0c/ReVvD+liIM5DROte8KxE/Dm7/35+1nZXDLqVzb1n4ZToaSbuYSg936mdPC5VPznLTYc2cDDfe50i02Vo5pyu6mFswtOZczZ8PdrYfDJyJySclixCW59GgpLfGubP+LXLZxt27ZhDbZR5aymT3BPX5vlVSRJIu/zCr59rpyaCvkjOfv6cMb9I4bgyNrfhcJiWPczZF7W+K9nuRnufRkuHw2Xj4Je3cC+ew8V8x+j+rNv5L4CoIiJIOzWqwl77BmU3bvz2pEPyDFtY/nQVzrkfrsiBcdgw6/wzc/y6Ni2txvvhjmdXavb1WW6VF3Zh9MUxiN2vplfRsHPVgAieqjofWssP1WHsu5n+ONk3vVPn4QpY1t3bseBg1S8+CpV77wPVSdbUMHBhNw4jbsnHeCOif9iXLQcv2W0m7FLdp8lN+vsSFLTs5tfWAHLN8Kt6XDj5f41laAtdJku1ZlIdK8Ars/uzvjHY1CGKLAcc/Dn88fZ/2Ype3bLrZPuMVBmbv25Vf37EfXqC3TP+5bw2y5F0b0bWK1Uv/shL077kdSrF1Ct+RSppobsohX848DT7XtzZxDNucU0/5Njyua8Cn2mQuYT8L/tskh1dfxacF4ofLvlQl0QhVLBiOmRXP9JIruDZN/OyJpKFlQX8cVNFRxeLfG3K9t+fuVZqUS88xXdC3YR9e6bBKQMBcD2Qw7G6TMoSRpK+MLXuLtqnLtOUU0JW81/nNZ9CWRe/wfcN1WeUFljg0+/g8sfgLH3dn3R8esu1Re6rxka33lnFzeFzQ7bd8Pm3+Vftnsz4Kq0xst+vUUidn8l218vd68M0f/iECY8Hkt07/aJTJF+WYptw1dU5nXD+tkX7iF1gKDxlxBy2y28POow+xTHeHvQs82cSdAarDXwZQ5kfwWbtsED02BxE8Gt/swZ68PJ3QfmKlAp5TQGsZEQGwEhfjBxrcwkp1nQ5cmTyix1Fu288xp4/cHm61eUOvj2uXJ2rZUDlQJCFYy5J4qRN0eiDGiHYe2TnkxH0TGq3/wPVa+/hqOkdi2s6oggbNenk/S3+whMu5D91QY+KlnDE0mzT//aAnYdkr+znTGUwm98OM3lNAY5K+Ds2Z59YU+Y4fPv4bvfmi4zZwlcfA+k3QWpt0KfDAifCD2va7qpWlktRzG3B+ZK+XyNERgAT38o/5K5xCa5P9x1HWSMa7xOXcLjVVz1fDwZr3cjsqcKe5XE5sVGPrrhGEV57bBI3slhE1ViD8IH5xL/+tXEbPyKkBuuh5AQQiw1RL77JSf+cjmlA1LZ9c97cP65p94pxLB62xnat2mxKTPBvS/JKTc6O16LFq+b0zgrK6vRBFvJycmYzU17PwtL4IsvZKHZtlv+Eb41HS4Z0TpbQoObduK9tw7ue1nuTyfGya+4k6kTHrkZ+jUyGn/kODz3MZSa5C/DsTI4dEwWxTcehDuuaVgnMgxungjdouXAwIvPlvO0tJazxoYy84tgcv5jZPuHFop32vj4xmOMuCGCMfdFExzRDr8hlz6BIjqJ4LA4gsdfSuShfKo/+oDqr7di2/IzjgMHGbXkIKOWQOmI7YTcOA3D1ecxxbKI30d8TbAy6PRtELhZ8im8sQbe/q+cwuPR/4OenTTCx2uCo9frSUuTHROunMaubU9JvRWcdYQiNFh+cJti08kpJA4HmCplASgzNd+CceVxKTspHvkHa4/dm9F4nTITvLa68WO7Cpq+1ruPNH2sNQSFKbl0bizDrwxn/cIyjuXb2P6xhd0bq7jsnzEMmhB6erOHe55b+78kofz+YcKGdSPssU3Y9+6j+mMN1R9pcOzdh/23P7D89gexc+HDEb2w35JNwNRrUan78FzhUmYm/LVLxL/5kiFJ0L8nHDgKr38Oy76Wnc7zbpLdBp0Jv86HI0nQOwFuGC9PFb8oGYI9+PFUqU76byLhrF7Nl334Rpg6Do6WwdFSKCqVBcVYAT3iGq8TGwl/vUROIhUfLSeCUveAvj1avl570mN4EDct78Hvyy38sMSI5ZiDLx8opf/FIYx/NJYYdTt8vDUWCAiG9BcBCBg4gIjHHiR8wSPYt/1G9fJVVK/4FOeRo6h/O4Llt3lYHpiHfXQq5otOEHbfOBgoC85haxE9grq510wXeMYNE+Tv6LK18PQHcgs7azms+UEOKu1Ukwi9Ea4uSZK0YsUKKScnR5IkSZo/f75UUFDQaLkZM2Y02OcKd/9ys1my271lYdfCdNQmrZlTImUlF0hZyQXSS+cZpJz/lEs1VY72vZDTKUkfXClJP79Ru8vhkKw/5EjG+x6UinsOcKfKcL2On3OhZF74tHTrp1dKa0rWt689ZxiV1XIajfgrJemVVb62RsZv0lNkZ2e7k6lnZmbWy2kMuPMaL1q0qF5360yeaXy67P+hik1Pn8BYKE8SjO6j4tJ5sQy4JKR9gjT3fwsrp8PsnRDWsAkoOZ3YdD9h/ewLqj9dg7PwcL3jiv5JhF5zFcHXXskHAw3YA5T8veeNp2/XGcYJM4QFe9bi9zZn7LC4QMZW7WTrMjO/vGN2Lzvc96JgLnk4hu6DTvMbKklgOgzRfWq3Nz4O5/8dotWnFJWw/7qd6s+/wvr5lzh27a53vDIyEMv4UQyc+jeCrxiPIbKG9eU/MCtx+unZeIZz5Lg8kDGig5Zt85thcYFvCAxRknZ3NDO+SGTgZaGAvATxB1OPseFfZVQc93xxvgYoFLViA5CrkXN2BjX0XioUCgJHjyTymYV027md+F3biXj+KQLHXARKJWFmGwlrtmD6v9sp6XEWlX+ZRPAzb2L7eSvSySDTr8o2UemoanBuQdM8sQxGzYKbn5RTqvoTooVzBnDop2q+fa6c43vkGcQBoQpG3hzB+bdF1YtEb9vJf4TqchhylbwtSWDYAknNj0g6jx/HunY91q/WUrP+f0inLAWtiIvDMf4inh68g6f/tobo/kMAyK/cS2JgN+ICRRb0xqixwbj74Jed8naACm6/Ch6/1XtD6aJLJWiA0yGnv8j5j5GKEjlEIiRKyahbIxlxU0T7zN8B+OMT+OYheGAfBIZ6VEWy2WS/z9r11Gg3YN+R16CMatBAgsaP48VBOzlv8u1cM3QaIKeerXBW0j/Es6WizwScTlj5LTzxjpwmA+QpJU/dDnOmtf/1hOAImsRW5WT7xxZ+eceE1Sx/9CFRSkbeGsGIGyLbnGnQzee3wVkT4JyTjmCnE+xVEOR56jvHkaPUrN9EzfpNWDd+i1RyvEGZgJThBF5yMd+e7eR/qQ5euXAJIPuNdObtnB9xDoHKM3v43WaXh9KffE+e8vHRfHmIvb0RgiNokSqjg20fWtj+kZkai/wVCAxTcM71EYy8JYLIHm18WF1fJ9eI2Pb35ExUs35s2+mcTuw78qjZ9B01/9uM7fscd6L4uqiGDCJo7BhMFwxjWvz7bLx6M2EquYX1k+k3+gQndvkkbk1RZYVPNsKMdHmOWnsjBEfgMdVGJ9s+NPPbJxaqTXJXSxkAQ64I47ybI+iZehqRr04nvDIEJjwNqSfb8s1lpvIAyWbDtu03bN/9QM13P2DL+alRAVL2TCQw7QICx1zE3B7fMPmye7gqUV7ffk/VQfZWHWSSny8X3VFs3y2vUDHu3LZ9NEJwBK2mpsLJjs8q2Pa+GfOx2lGsXucEMeLGCAZdHkZAUFu+jccgPKH2m/zLG1Csh6teaxe7Jbsd++87qPk+B9v3OdTkbEE6XtqwXHAQQSPPI/Ci89k4uIKcYU4WX/yqfEySeNrwH+7tdQsxAY2s+tfFufqfsHYLpJ4lx2rdeHnrQiaE4AjajMMmsXt9Jds+slCUWxuFHhqrJGVKOGf/NZzYpMC2ndxWBS/2h2uWwrBr5X2n2eI5FUmScOzeg+3HLdRs+QVbzpYG839cKHv1JPCCUZhHDOKB+K/46IYNhMR2A+DNox8zIKQvl8f+pd1s80dqbHDVPDmLgYuQIDmDwS1XyLmxW0IIjqBdOPKHld8+sbB7fSWO2pxcqEcHk5oRzqAJoQSGttLJXKAD9UW1IvNjFtRUwGUL283uU3GWlWH7SY50t235BdvW7Q2G4V2ohgwicPRI3u6Vz8ixNzB23EyUERFygvmSL3ltwL9qzys5USq6xlS23H1yIrCPN0D5yR7q9ZfCioUt1xWCI2hXKssc5K2pYMeqCsoNdvf+oHAFgyeGkXxNGH1GBqNQtrKlUlMBL/SDqR/A4EnyPqsFAkJA5b0RJsnpxLHrT2w//4rtl1+x/fyrPBTvaGRCpEKBavBA9g+L5s/BIUy7fB6B56RAt3hG/HYVnw17g4GhfQF5iD5MFUKEqvMuRlVllVOefrwB7pkCV49pvFzxidr0KkJwBF5BckoYfrWSt7qC3Ruq3GETAJE9VAy+IpSh6WEkpgZ5FrclSbBvIwyYUNviWf8IVBTDlHe8dBdNmFJVhe2PXOxbt2Hbuh3btt/krpjT2Wh5Z88EfupfzWUX30bQOWcTeHYK/wxYRffwROb1uROQE5JtMW3vcs5pSyV0u1rOjnDxOTBqkIWXHhGCI/AiVrOT3esr0X9VSeGv9RMORSaqGHhZKAMvC6XPyGBUgR62fJwOWJwEU9+XRQjg+G44sh3O7vj4KqmiAtvvO7D/9ge27X9g/+0P7Pqd9XI+18UeoKBmcBJx55yPKnkYu/opeS7qO1ZO/gLFyfHoxYXZXB03niFhZ3XkrbQr2p/hyodrtxVOCwOKheAIOgjjETu7v6lk17pKjuXXfxgDwxQkXRBMvzEh9L0whNi+Ac23fkxHICKxNsnLNw/L+67/SN6WJDAfhagOTDxUB6mmBvvOP7H/vgP7jjzsf+Ri+yO30ZExN8HBBAwZhGrYEJZG/cTUi+6h79kXoxo0gPcqv2F/dQFP9ZOTWjslJ1stOxgZkeK3eYOcTsjdL6f7zckF3R8WwncJwRH4gHKDnb3fVrH3f1Uc3m5FOqVHEhavpM/IYHqdG0xiShAJQwMJCmvG8frNPBg4EQaMl7cPb4P3J8I/S2pFqeoEhPpuwT5JknAWF2PPzceeq8eu34lDvxO7fidSMyl0ASq6hWPu351+w8egGtAfc994brO9xur0rwjp2QeFUsm7x1YxIKQvY6PPB8DqrMEu2QlXNZP+sgMxmy2MGiUER+BjqsodHNpi5aCumoO6aizHGjplFUqI7RdAt0GBdBsYSPxZgcQkBRCjDmg8vuu7p+Dob3DDZ/K2JMHzveRtV8Bo2T559mJMXy/eXctIkoSz8DD2nX/i2LlLbhn9uQfHrt04i461fILgYFR9epMfV0FM/yH0H3A+ql6J6GPMLJU28uaYN1H1SEARHs6Lh9/h2rjLGRCaBMAJuxG75KB7YBNpK9sRv3Ean5qAy9PjQnC6HpIkYSx0ULjNSuGvVo7mWSndZ4dmvn2hsUoiE1VEJqqISFARHq8iLE5BWEQVIQnRhEQpCaaIoPdHEPT4IVThJ78rX90NwVEw8eQaWqbDsGk+TFlWe/Kjf8jdsnDfrMviNJlw7NmHY89e7Hv24dh/EMe+/Tj2HcB5tKh1K+KFhXEsyk5czwGEd++FIi6W/OASjoRVMan/NSiio3BGhPNU+bvMHTqHqOgeKMLD+NGeT0hELBf0uABCQqh0VvFHxS7Sos5zn9poNxOiDG42Mb5fCI5Go0GtVrtXbbjzzjvrrdrQ3HGz2cyoUaPYvHmzEJwuTE2lk+JdNZTus1G6307pPhsnCuxUn2h8ZKglVIEQEKJA5TQSEBqIKjwSVZAClbMCpWkPij7noVTJrSrF0a0o49QoonuiUChQWI6gMB6AvmNQKORcPhzajKLXuRAsL/6tMBWAvRK6DQUFKCQnGHTQ5wL54gqgdJ/8f4zc0sBWhaJoB6gvrDW0JB9C42RfFcjpPU7sh57ygy45HUiHtiEpY5HsKqSKCiRjGVKFGRwBOKsqobqd1jaq9waqsCklgpRKOehKGUglVgKUAQRLEgRHUIOdSqmaGEklZwMICKTIXsLrFUv59ddfiYxsfoqyz1ZtaO54RUUFAOPGebBgk0Dgwg64cnUZGzl+6rpOBxops+uU7XwPrvu7B2W2tVzEYwKAjvwddun/qWuunbIcWkVFhe8E53RISEhg8+bNhIeHt08eXoFA4DUkSaKiooKEhIQWy3pNcFy+GbVajcFgID093ePjSqWSxMREb5kmEAjamZZaNi68FgiSmZmJXq9Hp9ORnJyMWq3GZDKxYMGCJo8LBIKujV8OiwsEgq5J1wh19RJ6vZ7Zs2f72gyBoMvgl4KTnZ2NTqdDo9H41I7k5GTMLcwU9SYmkwmtVotWqyUrK8tndgBotVr3woW+xmAw+Py7kZGRwezZs9FqtT6zwfWZZGdn+8wGnU5HRkYGM2fOJCMjo8X3w+9GqTQaDcnJye75OSaTqd78nTOJdevWkZKSQnJyMhqNxu1k72j0ej1Go5H09HQWL17c4dc/FV8+5C6efPJJkpOTfXb9up9J3ekmHU10dDSrV68G5M/l1MGhU/G7Fo5er3c/VK75OWcqmZmZ7i+10Wj0mWM9OTmZSZMmkZWVxUMPPeQTG1zodDqfPmAu8vLyfNq6WLt2LQUFBT5v4bi+n55+Ln4nOIKGaDQanz/oUVFRzJ07l8WLF2NqIluet3G18PyhxZuZmUlaWhq5ubk+ez9SU1NJS0vDYDCg1+t9YoMLvV7v0efid4Ljmp8D+KwL4UKn02EwGNDpdD61ISUlhZSUFJ99sbOystxf6D59+rg/n45Gr9e7Pw9fPuhardb9fvjKx5eUlOST6zaGwWCgvLzco7J+58PJzMx0NxF9PT8nLS2NjRs3+uz6Lieta3Kkr2yZPn06BoMBrVaLWq32me/C5R/wZRcC5O+F68coPT3dJy0u13Oi0+l8+pmALDgxMZ4tvSzm4QgEgg7D77pUAoGg6yIERyAQdBhCcAQCQYchBEcgEHQYQnAEAkGHIQRHIBB0GEJwBAJBhyEERwDg86nxLdGUfRqNhoyMjA62RtBWhOAIMBgMLF261NdmNElz9k2aNKmDrRGcDqqFCxcu9LURAu9hMplYsmQJhYWFrFu3jsLCQubMmYPVauW1115j0KBB7N27ly+++IKEhAS2bdvGggULiI6OZsmSJYwZM4ann36avXv3snfvXgoLC7nhhhswGo1oNBpSUlJYuXIl8+bN47rrrmPu3LkoFAoGDhxYzw6tVtugnkKhaGBb3Wu7xGTLli1u+xISEurZM2jQINasWUNKSgo33ngjCQkJDBw40KP79iTpt6CdkQRdmvnz50vPP/+8tG7dOum+++6TJEmSxo8fL0mSJK1bt056/vnnJaPRKM2YMUOSJEkyGo3S4MGD3f/Pnz9fWrdunSRJkjRq1Kh6f3Nycuqd02g0Sm+99VaTtpxa71TbTr22i7r2nWqP0WiUpkyZIs2YMUMqKCho1X0LOh6/C94UtD9JSUmkp6e7A/xcwYanBh2aTCYOHz7sDphtKSixbrR2ZmYm999/P7NmzWrRnrr1TrWtuWubTCYsFkuj+++44w4WLFjAu+++2+S5m7pvQcchBKeLM2vWLBYsWIDJZEKtVqPX6zGZTBgMBnJycsjPl1d6MxqNLF26lAEDBgC1qUFmzZpFdnY2BoOhXk6erKws8vPzWbRoESALjkajaTEJ06n16trm4tS0JFFRUW77Zs2axfLly932uFKHuCLqFyxYwKJFizy67zM5m6SvENHiglaTkZHhTisJuB/cllJMnlpPcOYhRqkErUKr1WIwGOol4ZoxYwYajaZZsWmsnuDMQ7RwBAJBhyFaOAKBoMMQgiMQCDoMITgCgaDDEIIjEAg6DCE4AoGgwxCCIxAIOoz/BwWz0ShebCbrAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.stats import gaussian_kde\n",
    "xs = np.linspace(0,9,100)\n",
    "kde = lambda x: gaussian_kde(x, bw_method=0.3)(xs)\n",
    "props = dict(linewidth=2)\n",
    "\n",
    "sns.set_palette(\"bright\")\n",
    "\n",
    "nice_fonts = {\n",
    "        # Use LaTeX to write all text\n",
    "        \"text.usetex\": True,\n",
    "        \"font.family\": \"serif\",\n",
    "        # Use 10pt font in plots, to match 10pt font in document\n",
    "        \"axes.labelsize\": 8,\n",
    "        \"font.size\": 8,\n",
    "        # Make the legend/label fonts a little smaller\n",
    "        \"legend.fontsize\": 8,\n",
    "        \"xtick.labelsize\": 8,\n",
    "        \"ytick.labelsize\": 8,\n",
    "}\n",
    "\n",
    "plt.rcParams.update(nice_fonts)\n",
    "\n",
    "# fig, ax = plt.subplots()\n",
    "fig_width_pt = 219.08612\n",
    "figsize = set_size(fig_width_pt)\n",
    "figsize = (figsize[0]*1.4, figsize[1]*1.6)\n",
    "figsize = (4.*0.9, 3.*0.9)\n",
    "fig, ax = plt.subplots(1, 1, figsize=figsize)\n",
    "\n",
    "ax.plot(xs, kde(prior_3M[\"lm\"]),  label=\"LM\",       linestyle='--', **props)\n",
    "ax.plot(xs, kde(base[\"tm\"]),      label=\"Base\",     linestyle=':', **props)\n",
    "ax.plot(xs, kde(base_ls[\"tm\"]),   label=r\"Base+\\textsc{LS}\",  linestyle=':', **props)\n",
    "ax.plot(xs, kde(prior_3M[\"tm\"]),  label=r\"\\textsc{LM}-prior\",    linestyle=\"-\", **props)\n",
    "ax.plot(xs, kde(postnorm[\"tm\"]),  label=r\"\\textsc{postnorm}\", linestyle='-', **props)\n",
    "\n",
    "\n",
    "ax.set_xlabel(\"entropy per token\")\n",
    "ax.set_ylabel(\"density\")\n",
    "plt.legend(ncol=2, prop={'weight':'bold'})\n",
    "\n",
    "plt.xlim(0, 7)\n",
    "plt.ylim(0, 0.8)\n",
    "fig.tight_layout()\n",
    "\n",
    "plt.savefig('entropy.pdf', bbox_inches='tight', format=\"pdf\")\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
